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Finding the Fourth Proportional to 272,567.09, 408,871.40 and 83,043.64

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Solution

The fourth proportional to 272,567.09, 408,871.40 and 83,043.64 is: 124,571.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,567.09 : 408,871.40 = 83,043.64 : x
  2. Step 2: Convert to fraction form
    272,567.09/408,871.40 = 83,043.64/x
  3. Step 3: Cross multiply
    272,567.09x = 408,871.40 × 83,043.64
  4. Step 4: Simplify right side
    272,567.09x = 33,954,167,562.73
  5. Step 5: Solve for x
    x = 33,954,167,562.73/272,567.09
  6. Step 6: Final answer
    x = 124,571.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.